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The mild-slope equations: a unified theory

Published online by Cambridge University Press:  29 January 2020

D. Porter Open the ORCID record for D. Porter [Opens in a new window]
D. Porter*
Affiliation:
Department of Mathematics and Statistics, University of Reading, P. O. Box 220, Whiteknights,ReadingRG6 7AX, UK
*
†Email address for correspondence: [email protected]
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Abstract

The mild-slope equations, devised to approximate surface wave propagation over water of slowly varying depth, have hitherto been based on either the velocity potential formulation or the streamfunction formulation. By using a more general version of the governing equations, a single framework is developed that relates the existing mild-slope equations and provides new examples and derivations.

JFM classification

Waves/Free-surface Flows: Waves/Free-surface Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 887 , 25 March 2020 , A29
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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